Here is the full list of all 16 Prelogate achievements.
Solve II.4 using exactly five devices
Complete tutorial chapter
Complete fifth chapter
Complete the game
Make logic circuit loop endlessly
Find clean solution to III.4 without using Mixer
Discover at least one of them
Use 512 devices in your solutions
Do over 9000 total logic ticks in your solutions
Complete VII.3 with finite, total laser length exceeding 270 units
Complete IX.6 with finite, total laser length exceeding 128 units
Solve V.6 with less than 240 total logic ticks
Find clean solution for every level in the game
Complete chapter VI using less than 64 devices
Solve VI.5 using exactly ten devices
Don't cross the beams in III.3